\eqcolon
The symbol \eqcolon is used to denote that the expression on the left-hand side is defined to be equal to the expression on the right-hand side. It is a way to introduce a definition or to state that a particular expression is being defined as something else.
Defines 'a' as the sum of 'b' and 'c'.
a \eqcolon b + c
Defines the function f(x) as a quadratic expression.
f(x) \eqcolon x^2 + 2x + 1
Defines 'T' as the kinetic energy in terms of mass 'm' and velocity 'v'.
T \eqcolon \frac{1}{2}mv^2